An Investigation of Chaotic Diffusion in a Family of Hamiltonian Mappings Whose Angles Diverge in the Limit of Vanishingly Action

Autor(es)

Leonel, Edson D. ^{[1, 2]} ; Kuwana, Celia M. ^[2]

Afiliação do(s) autor(es)

^[1] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste - Italy

^[2] Univ Estadual Paulista, UNESP, Dept Fis, Av 24A, BR-1515 Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 170, n. 1, p. 69-78, JAN 2018.
• Citações Web of Science: 0

Resumo

The chaotic diffusion for a family of Hamiltonian mappings whose angles diverge in the limit of vanishingly action is investigated by using the solution of the diffusion equation. The system is described by a two-dimensional mapping for the variables action, I, and angle,. and controlled by two control parameters: (i) epsilon, controlling the nonlinearity of the system, particularly a transition from integrable for epsilon = 0 to non-integrable for epsilon not equal 0 and; (ii) gamma denoting the power of the action in the equation defining the angle. For epsilon not equal 0 the phase space is mixed and chaos is present in the system leading to a finite diffusion in the action characterized by the solution of the diffusion equation. The analytical solution is then compared to the numerical simulations showing a remarkable agreement between the two procedures. (AU)

• Processo FAPESP: 17/14414-2 - Investigação de escala em sistemas dinâmicos
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 12/23688-5 - Expoentes e leis de escala, transições de fase e propriedades de transporte em sistemas dependentes do tempo
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular